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In a previous work [18], the authors investigated autocontinuity, converse-autocontinuity, uniformly autocontinuity, uniformly converse-autocontinuity, and fuzzy multiplicativity of monotone set function defined by Choquet integral([3,4,13,14,15]) instead of fuzzy integral([16,17]). We consider nonnegative monotone interval-valued set functions and nonnegative measurable interval-valued functions. Then the interval-valued Choquet integral determines a new nonnegative monotone interval-valued set function which is a generalized concept of monotone set function defined by Choquet integral in [18]. These integrals, which can be regarded as interval-valued aggregation operators, have been used in [10,11,12,19,20]. In this paper, we investigate some characterizations of monotone interval-valued set functions defined by the interval-valued Choquet integral such as autocontinuity, converse-autocontinuity, uniform autocontinuity, uniform converse-autocontinuity, and fuzzy multiplicativity.
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참고문헌 (20)
참고문헌 신청
J. Aubin / 1990 / Set-valued analysis / Birkauser
R. J. Aumann / 1965 / Integrals of set-valued functions / J. Math. Anal. Appl 12:1~12
M.J. Bilanos / 1989 / Convergence properties of the monotone expectation and its application to the extension of fuzzy measures / Fuzzy Sets and Systems 33:201~212
L.M. de Campos / 1992 / Characterization and comparison of Sugeno and Choquet integrals / Fuzzy Sets and Systems 52:61~67
J. Fan / 1992 / Distance measure and induced fuzzy entropy / Fuzzy Sets and Systems 52:61~67
R. J. Aumann / 1965 / Integrals of set-valued functions / J. Math. Anal. Appl 12:1~12
M.J. Bilanos / 1989 / Convergence properties of the monotone expectation and its application to the extension of fuzzy measures / Fuzzy Sets and Systems 33:201~212
L.M. de Campos / 1992 / Characterization and comparison of Sugeno and Choquet integrals / Fuzzy Sets and Systems 52:61~67
J. Fan / 1992 / Distance measure and induced fuzzy entropy / Fuzzy Sets and Systems 52:61~67
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